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Finding the Fourth Proportional to 634.19, 875.09 and 424.73

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Solution

The fourth proportional to 634.19, 875.09 and 424.73 is: 586.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.19 : 875.09 = 424.73 : x
  2. Step 2: Convert to fraction form
    634.19/875.09 = 424.73/x
  3. Step 3: Cross multiply
    634.19x = 875.09 × 424.73
  4. Step 4: Simplify right side
    634.19x = 371,680.23
  5. Step 5: Solve for x
    x = 371,680.23/634.19
  6. Step 6: Final answer
    x = 586.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.